In this section, we first present our network model, and then briefly review the stochastic hybrid system analysis from [1]}.
The network consists of \(m\)  information sources that are sensed by \(n\)  independent servers as illustrated in Figure REF . Updates from the information sources are aggregated at the monitor after going through separate links. Server \(j\)  collects updates from source \(i\)  following a Poisson random process with rate \(\lambda _{j}^{(i)}\) , \(j \in [n], i \in [m]\) . For Server \(j\) , the service time is an exponential random variable with average \(\frac{1}{\mu _{j}}\) , independent of all other servers. We focus on the queuing model of last-come-first-come with preemption in service, or in short, LCFS. In this model, a server starts to transmit the new update right upon its arrival, thus dropping the previous update being served regardless of its source, if any.
